Loudon County Phone Company charges a $100 activation fee plus a monthly fee of $0.05 per minute for every minute over 200 minutes each month. (So, there is no monthly charge for 0 – 200 minutes of use per month). show all work.

(a) Write an equation that can be used to determine a new subscriber’s first month’s phone bill, B(x), given the amount of minutes called, x. (Assume that the subscriber will make over 200 minutes of calls) '

(b) Determine the subscriber’s first month’s bill if the total minutes used was 650. Show work.

(c) Determine the number of minutes used if the new subscriber’s first month bill was $114. Show work.